Local versus global distances for zigzag and multi-parameter persistence modules

DOI10.1007/978-3-030-95519-9_3OpenAlexW4285221028MaRDI QIDQ2080087

Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Lori Ziegelmeier, Yusu Wang, Ellen Gasparovic, Bei Wang

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/1903.08298

zbMATH Keywords

Wasserstein distanceinterleaving distancebottleneck distancezigzag persistence modules

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31)

Cites Work

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• A survey on tree edit distance and related problems
• Stability of persistence diagrams
• Lipschitz functions have \(L_{p}\)-stable persistence
• The theory of multidimensional persistence
• Extending persistence using Poincaré and Lefschetz duality
• The rank invariant stability via interleavings
• Zigzag persistence
• The Structure and Stability of Persistence Modules
• Computational Topology for Data Analysis
• Comparing Graphs via Persistence Distortion
• Zigzag persistent homology and real-valued functions
• Zigzag persistent homology in matrix multiplication time

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